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 A244185 T(n,k)=Number of length n+4 0..k arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..k introduced in 0..k order 10
 13, 38, 22, 48, 108, 36, 49, 173, 306, 59, 49, 188, 650, 867, 97, 49, 189, 790, 2495, 2457, 160, 49, 189, 811, 3537, 9667, 6963, 263, 49, 189, 812, 3803, 16477, 37604, 19732, 433, 49, 189, 812, 3831, 19113, 78614, 146521, 55918, 712, 49, 189, 812, 3832, 19575 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...13.....38......48.......49........49........49........49........49........49 ...22....108.....173......188.......189.......189.......189.......189.......189 ...36....306.....650......790.......811.......812.......812.......812.......812 ...59....867....2495.....3537......3803......3831......3832......3832......3832 ...97...2457....9667....16477.....19113.....19575.....19611.....19612.....19612 ..160...6963...37604....78614....101200....107068....107818....107863....107864 ..263..19732..146521...380407....556443....620051....631917....633072....633127 ..433..55918..571315..1855983...3141344...3761768...3920234...3942493...3944198 ..712.158464.2228340..9098538..18055451..23672967..25559691..25918400..25957707 .1172.449066.8692454.44726540.105031051.153195068.173884143.178997028.179748699 LINKS R. H. Hardin, Table of n, a(n) for n = 1..4239 FORMULA Empirical for column k: k=1: a(n) = a(n-2) +a(n-3) +2*a(n-4) +a(n-5) +a(n-6) k=2: a(n) = a(n-1) +3*a(n-2) +4*a(n-3) +5*a(n-4) +3*a(n-5) +2*a(n-6) k=3: [order 12] k=4: [order 18] k=5: [order 24] k=6: [order 30] k=7: [order 36] k=8: [order 42] k=9: [order 48] EXAMPLE Some solutions for n=6 k=4 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0 ..1....0....1....0....1....1....1....0....1....1....1....1....1....1....1....1 ..1....1....2....1....2....2....1....1....2....2....2....1....1....0....0....2 ..0....2....3....2....0....3....2....2....1....3....0....2....2....2....0....2 ..2....2....4....1....3....0....2....3....3....0....2....2....3....2....1....0 ..3....1....4....2....0....1....3....3....3....0....3....0....4....3....0....3 ..0....0....3....0....0....3....2....4....4....0....2....3....3....0....2....1 ..0....0....2....0....4....4....1....4....0....4....1....0....3....1....3....4 ..2....0....2....1....3....4....4....2....2....2....2....1....1....3....1....1 ..3....0....0....2....0....1....0....1....1....0....4....1....1....4....1....2 CROSSREFS Column 1 is A164441(n+3) Sequence in context: A201809 A129541 A302858 * A044090 A044471 A285525 Adjacent sequences: A244182 A244183 A244184 * A244186 A244187 A244188 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jun 21 2014 STATUS approved

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Last modified December 1 15:30 EST 2022. Contains 358468 sequences. (Running on oeis4.)